First-order numerical method for the singularly perturbed nonlinear Fredholm integro-differential equation with integral boundary condition
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Institute of Physics
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this work, we consider first-order singularly perturbed quasilinear Fredholm integro-differential equation with integral boundary condition. Building a numerical strategy with uniform ?-parameter convergence is our goal. With the use of exponential basis functions, quadrature interpolation rules and the method of integral identities, a fitted difference scheme is constructed and examined. The weight and remainder term are both expressed in integral form. It is shown that the method exhibits uniform first-order convergence of the perturbation parameter. Error estimates for the approximation solution are established and a numerical example is given to validate the theoretical findings. © Published under licence by IOP Publishing Ltd.
Açıklama
2nd International Workshop on Mathematical Modeling and Scientific Computing: Focus on Complex Processes and Systems, MMSC 2022 -- 4 October 2022 through 7 October 2022 -- Virtual, Online -- 189205
Anahtar Kelimeler
Boundary conditions, Fredholm integral equations, Integrodifferential equations, Nonlinear equations, Difference schemes, Exponential basis functions, First order, Fredholm integro-differential equations, Integral boundary conditions, Integral identities, Numerical strategies, Parameter convergence, Quasi-linear, Singularly perturbed, Numerical methods
Kaynak
Journal of Physics: Conference Series
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
2514
Sayı
1
